Monotonicity criteria for an energy-period function in planar Hamiltonian systems

Nonlinearity

Volumn 14, Issue 6, 2001, Pages 1425-1432

  Zevin, A A ^a   Pinsky, M A ^b  

^a National Academy of Sciences of Ukraine   (Ukraine)

^b UNIVERSITY OF NEVADA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035511438     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/14/6/301     Document Type: Article

References (11)

1. Gavrilov L 1997 Isochronicity of plane polynomial Hamiltonian systems Nonlinearity 10 433-48
2. Cima A, Manosas F and Villadelprat J 1999 Isochronicity for several classes of Hamiltonian systems J. Diff. Eq. 157 373-413
3. Cima A, Gasull A and Mañosas F 2000 Period function for a class of Hamiltonian systems J. Diff. Eq. 157 373-413
4. Opial Z 1961 Sur les périodes des solutions de l'équation differentielle ẍ + g (x) = 0 Ann. Polon. Math. 10 49-72
5. Chikone C 1987 The monotonicity of the period function for planar Hamiltonian vector fields J. Diff. Eq. 69 310-21
6. Chow S N and Wang D 1986 On the monotonicity of the period function of some second order equations Casopis Pést Mat. 111 14-25
7. Schaaf R 1985 A class of Hamiltonian systems with increasing periods J. Reine Angew Math. 363 96-109
8. Rothe F 1993 Remarks on periods of planar Hamiltonian systems SIAM. J. Math. Anal. 24 129-54
9. Yakubovitch V A and Starzhinsky V M 1980 Linear Differential Equations with Periodic Coefficients (New York: Wiley)
10. Krein M G 1955 Principles of the theory of λ-zones of stability of a canonical system of linear differential equations with periodic coefficients In Memory of A A Andronov (Moscow: Izd AN SSSR) pp 413-98 (in Russian)
11. Schaaf R 1990 Global Solution Branches of Two Point Boundary Value Problems (Lecture Notes in Mathematics 1458) (New York: Springer)